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Annals of Mathematics· 2012Q1

A new proof of the density Hales-Jewett theorem

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Short summary

A new elementary proof of the density Hales-Jewett theorem is presented, providing the first quantitative bound on the required grid dimension and offering a simpler proof for Szemerdi's theorem.

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Field: Discrete Mathematics and Combinatorics

Discrete Mathematics and CombinatoricsMathematics